Nikon issued another statement on the Nikon D750 reflection/flare issue: they will inspect and service all affected cameras for free starting the end of January, 2015. The fix will contain light-shielding components and AF sensor position adjustments. Additional details will be announced at a later date. Here is the full text of the announcement (EU link):
To users of the Nikon D750 digital SLR camera
Thank you for choosing Nikon for your photographic needs.
On December 29, 2014, we announced that we were looking into measures to address the issue reported by some users, namely that when photographing scenes in which an extremely bright light source, such as the sun or high-intensity lighting, is positioned near the top edge of the frame, flare with an unnatural shape sometimes occurs in images captured with the D750 digital SLR camera.
To correct this issue, Nikon will inspect and service at no cost the camera’s light-shielding components and adjust the AF sensor position. We plan to initiate this service at the end of January and will announce further details, including instructions for requesting servicing, shortly.
Please direct inquiries regarding this matter to Nikon Customer Relations by phone at 1-800-Nikon US (1-800-645-6687), 9AM–8PM EST, Monday to Friday (closed certain holidays) or online here.
We sincerely apologize for any inconvenience this issue may have caused, and ask for your continued patience and understanding.
Once again, thank you for choosing Nikon for your photographic needs.
